Particle hair colour
Okay, I tried to see if it was possible to model the pattern and got this result. I took a plane in top down mode and modelled it on top of the referance picture, and via array modifier and mirror came up with this result. I dont know if it is useable, as the computer I am currently using have some troubles, and crashes during hair simulation. Try it out and let me know if you can get some good results. You can add two seperate hair modifiers as it is 2 different meshes. So it should be possible. I am uncertain if the resolution of the mesh is high enough, or if the scene become too system heavy. Also there might be an issue with the hair modifier clutching the same amount of hair on the small faces as on the large faces.

The file is spread on 3 layers, so you can see some of the progress, and also contain the meshes before the modifiers are applied.